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Finding the Third Proportional to 235,782,146 and 507,396,100

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Solution

The third proportional to 235,782,146 and 507,396,100 is: 1,091,901,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,782,146 : 507,396,100 = 507,396,100 : x
  2. Step 2: Convert to fraction form
    235,782,146/507,396,100 = 507,396,100/x
  3. Step 3: Cross multiply
    235,782,146x = 507,396,100 × 507,396,100
  4. Step 4: Simplify right side
    235,782,146x = 257,450,802,295,209,984
  5. Step 5: Solve for x
    x = 257,450,802,295,209,984/235,782,146
  6. Step 6: Final answer
    x = 1,091,901,175.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.